ln(3x+7)+ln(x-2)=20x

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Solution for ln(3x+7)+ln(x-2)=20x equation:


Simplifying
ln(3x + 7) + ln(x + -2) = 20x

Reorder the terms:
ln(7 + 3x) + ln(x + -2) = 20x
(7 * ln + 3x * ln) + ln(x + -2) = 20x
(7ln + 3lnx) + ln(x + -2) = 20x

Reorder the terms:
7ln + 3lnx + ln(-2 + x) = 20x
7ln + 3lnx + (-2 * ln + x * ln) = 20x
7ln + 3lnx + (-2ln + lnx) = 20x

Reorder the terms:
7ln + -2ln + 3lnx + lnx = 20x

Combine like terms: 7ln + -2ln = 5ln
5ln + 3lnx + lnx = 20x

Combine like terms: 3lnx + lnx = 4lnx
5ln + 4lnx = 20x

Solving
5ln + 4lnx = 20x

Solving for variable 'l'.

Move all terms containing l to the left, all other terms to the right.

Combine like terms: 20x + -20x = 0
5ln + 4lnx + -20x = 0

The solution to this equation could not be determined.

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